Length of secant line in respect to circumference











up vote
-1
down vote

favorite












![circle with secant line]https://images.google.com/imgres?imgurl=http%3A%2F%2Fimage.mathcaptain.com%2Fcms%2Fimages%2F113%2Fsecant.png&imgrefurl=http%3A%2F%2Fwww.mathcaptain.com%2Fgeometry%2Fsecant.html&tbnid=mvxOwDyPBQ3svM&vet=1&docid=YUhMzW49fXk_wM&w=238&h=208 If you have a circle and you know the circumference is 30, the length of arc AB is 7, how would you find the length of the decant line AB?






secant







share|cite|improve this question







New contributor




Iyla Baker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
























    up vote
    -1
    down vote

    favorite












    ![circle with secant line]https://images.google.com/imgres?imgurl=http%3A%2F%2Fimage.mathcaptain.com%2Fcms%2Fimages%2F113%2Fsecant.png&imgrefurl=http%3A%2F%2Fwww.mathcaptain.com%2Fgeometry%2Fsecant.html&tbnid=mvxOwDyPBQ3svM&vet=1&docid=YUhMzW49fXk_wM&w=238&h=208 If you have a circle and you know the circumference is 30, the length of arc AB is 7, how would you find the length of the decant line AB?






    secant







    share|cite|improve this question







    New contributor




    Iyla Baker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.






















      up vote
      -1
      down vote

      favorite









      up vote
      -1
      down vote

      favorite











      ![circle with secant line]https://images.google.com/imgres?imgurl=http%3A%2F%2Fimage.mathcaptain.com%2Fcms%2Fimages%2F113%2Fsecant.png&imgrefurl=http%3A%2F%2Fwww.mathcaptain.com%2Fgeometry%2Fsecant.html&tbnid=mvxOwDyPBQ3svM&vet=1&docid=YUhMzW49fXk_wM&w=238&h=208 If you have a circle and you know the circumference is 30, the length of arc AB is 7, how would you find the length of the decant line AB?






      secant







      share|cite|improve this question







      New contributor




      Iyla Baker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      ![circle with secant line]https://images.google.com/imgres?imgurl=http%3A%2F%2Fimage.mathcaptain.com%2Fcms%2Fimages%2F113%2Fsecant.png&imgrefurl=http%3A%2F%2Fwww.mathcaptain.com%2Fgeometry%2Fsecant.html&tbnid=mvxOwDyPBQ3svM&vet=1&docid=YUhMzW49fXk_wM&w=238&h=208 If you have a circle and you know the circumference is 30, the length of arc AB is 7, how would you find the length of the decant line AB?






      secant




      secant






      share|cite|improve this question







      New contributor




      Iyla Baker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|cite|improve this question







      New contributor




      Iyla Baker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      share|cite|improve this question




      share|cite|improve this question






      New contributor




      Iyla Baker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      asked 10 hours ago









      Iyla Baker

      61




      61




      New contributor




      Iyla Baker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.





      New contributor





      Iyla Baker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      Iyla Baker is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






















          1 Answer
          1






          active

          oldest

          votes

















          up vote
          0
          down vote













          First, find the radius of the circle: $2pi R=30$, $R=frac{15}{pi}$. Let $O$ be the center of the circle. Then $mangle{AOB}=frac{7}{R}=frac{7pi}{15}$. Observe that $triangle{AOB}$ is isosceles with $AO=OB=R$. Then $AB=2Rsin frac{7pi}{30}=frac{30}{pi}sin frac{7pi}{30}approx 6.4$






          share|cite|improve this answer





















            Your Answer





            StackExchange.ifUsing("editor", function () {
            return StackExchange.using("mathjaxEditing", function () {
            StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
            StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
            });
            });
            }, "mathjax-editing");

            StackExchange.ready(function() {
            var channelOptions = {
            tags: "".split(" "),
            id: "69"
            };
            initTagRenderer("".split(" "), "".split(" "), channelOptions);

            StackExchange.using("externalEditor", function() {
            // Have to fire editor after snippets, if snippets enabled
            if (StackExchange.settings.snippets.snippetsEnabled) {
            StackExchange.using("snippets", function() {
            createEditor();
            });
            }
            else {
            createEditor();
            }
            });

            function createEditor() {
            StackExchange.prepareEditor({
            heartbeatType: 'answer',
            convertImagesToLinks: true,
            noModals: true,
            showLowRepImageUploadWarning: true,
            reputationToPostImages: 10,
            bindNavPrevention: true,
            postfix: "",
            imageUploader: {
            brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
            contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
            allowUrls: true
            },
            noCode: true, onDemand: true,
            discardSelector: ".discard-answer"
            ,immediatelyShowMarkdownHelp:true
            });


            }
            });






            Iyla Baker is a new contributor. Be nice, and check out our Code of Conduct.










             

            draft saved


            draft discarded


















            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2995443%2flength-of-secant-line-in-respect-to-circumference%23new-answer', 'question_page');
            }
            );

            Post as a guest


















            1 Answer
            1






            active

            oldest

            votes








            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes








            up vote
            0
            down vote













            First, find the radius of the circle: $2pi R=30$, $R=frac{15}{pi}$. Let $O$ be the center of the circle. Then $mangle{AOB}=frac{7}{R}=frac{7pi}{15}$. Observe that $triangle{AOB}$ is isosceles with $AO=OB=R$. Then $AB=2Rsin frac{7pi}{30}=frac{30}{pi}sin frac{7pi}{30}approx 6.4$






            share|cite|improve this answer

























              up vote
              0
              down vote













              First, find the radius of the circle: $2pi R=30$, $R=frac{15}{pi}$. Let $O$ be the center of the circle. Then $mangle{AOB}=frac{7}{R}=frac{7pi}{15}$. Observe that $triangle{AOB}$ is isosceles with $AO=OB=R$. Then $AB=2Rsin frac{7pi}{30}=frac{30}{pi}sin frac{7pi}{30}approx 6.4$






              share|cite|improve this answer























                up vote
                0
                down vote










                up vote
                0
                down vote









                First, find the radius of the circle: $2pi R=30$, $R=frac{15}{pi}$. Let $O$ be the center of the circle. Then $mangle{AOB}=frac{7}{R}=frac{7pi}{15}$. Observe that $triangle{AOB}$ is isosceles with $AO=OB=R$. Then $AB=2Rsin frac{7pi}{30}=frac{30}{pi}sin frac{7pi}{30}approx 6.4$






                share|cite|improve this answer












                First, find the radius of the circle: $2pi R=30$, $R=frac{15}{pi}$. Let $O$ be the center of the circle. Then $mangle{AOB}=frac{7}{R}=frac{7pi}{15}$. Observe that $triangle{AOB}$ is isosceles with $AO=OB=R$. Then $AB=2Rsin frac{7pi}{30}=frac{30}{pi}sin frac{7pi}{30}approx 6.4$







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered 9 hours ago









                Vasya

                3,1441515




                3,1441515






















                    Iyla Baker is a new contributor. Be nice, and check out our Code of Conduct.










                     

                    draft saved


                    draft discarded


















                    Iyla Baker is a new contributor. Be nice, and check out our Code of Conduct.













                    Iyla Baker is a new contributor. Be nice, and check out our Code of Conduct.












                    Iyla Baker is a new contributor. Be nice, and check out our Code of Conduct.















                     


                    draft saved


                    draft discarded














                    StackExchange.ready(
                    function () {
                    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2995443%2flength-of-secant-line-in-respect-to-circumference%23new-answer', 'question_page');
                    }
                    );

                    Post as a guest






































































                    -

                    Popular posts from this blog

                    How to change which sound is reproduced for terminal bell?

                    Image
                    3 Recently upgrade to 18.10 from 18.04, and using the terminal is becoming annoying: the new alert sound is a drip ( /usr/share/sounds/gnome/default/alerts/drip.ogg ), and the previous one is still located at ( /usr/share/sounds/ubuntu/stereo/bell.ogg ). My issue is that at the gnome-terminal, when autocompleting or pressing left BOTH sounds are reproduced, at the same time. I want to just have ubuntu/stereo/bell.ogg active, not both . At the moment I have been only able to reduce the volume of the alerts (but still both are played), or turn the alerts down (but I dislike both "solutions"). gnome-terminal 18.10 teminal-bell share | improve this question
                    Read more

                    Title Spacing in Bjornstrup Chapter, Removing Chapter Number From Contents

                    Image
                    up vote 5 down vote favorite 2 I would like to make it so that the vertical space below the title of each chapter is the same when using the Bjornstrup package (i.e. so that the descenders do not affect the spacing - as shown by the red arrow in the picture below). I think I'm fairly happy with the spacing around "A chapter", so I'd really like titles without descenders (e.g. "Contents") to have the same vertical spacing as "A chapter" below the title. I would also like to remove the large "0" in the contents title. Any help appreciated, as always. documentclass[11pt,a4paper]{book} % Packages[![enter image description here][1]][1] usepackage[left=3.5cm, right=3.5cm, top=4.3cm, bottom=4.25cm]{geometry} usepackage[utf8]{inputenc} usepackage{libertine} usepackage[libertine]{newtx
                    Read more

                    Can I use Tabulator js library in my java Spring + Thymeleaf project?

                    Image
                    0 I want to add Tabulator js to my java project. I added tabulator.min.js, tabulator.min.css to resources folder. After that added to my html page these dependencies as recommending in readme.md. <link rel="stylesheet" th:href="@{/css/tabulator.min.css}"> <script type="text/javascript" th:src="@{/js/tabulator.min.js}"></script> Now my tables view all elements, that I have in the html page, but not correct. In the documentation of Tabulator is example how to create header and table, var table = new Tabulator("#example-table", { columns:[ {title:"Name", field:"name", sorter:"string", width:200, editor:true}, {title:"Age", field:"age", sorter:"
                    Read more